Mitchell Starc expects Virat Kohli to try to punish Australia after India's captain fell cheaply to the fast bowler in the surprise first-Test defeat in Pune.

The tourists stunned their hosts at the Maharashtra Cricket Association Stadium, where India were dismissed for 105 and 107, with Kohli out for a duck in the first innings after edging a wide Starc delivery to first slip.

"If you look closely at the ball it was supposed to come back in, so it was a bit of luck there," said the 27-year-old paceman.

"It was his first couple of balls at the crease so he was probably going a little too hard. Not one I'll be giving back anytime soon, that's for sure."

In addition to removing India's skipper and prized batsman, there was some added satisfaction for Starc in accounting for his former Royal Challengers Bangalore colleague.

"I had a bit of a chuckle the ball before and while I was fielding at long-on and he was in the dugout," he said.

"Nice to get that one early in the series. He's a class player, we all know that. He's scored a mountain of runs already this year. I'm sure he'll come back bigger and stronger in the next Test and [we will] be wary of the Virat comeback."

The second Test of the four-match series between Australia and India starts in Bangalore on Saturday.